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Simplifying 7(x + 5) + 3(x + 5) = 6x + -6 Reorder the terms: 7(5 + x) + 3(x + 5) = 6x + -6 (5 * 7 + x * 7) + 3(x + 5) = 6x + -6 (35 + 7x) + 3(x + 5) = 6x + -6 Reorder the terms: 35 + 7x + 3(5 + x) = 6x + -6 35 + 7x + (5 * 3 + x * 3) = 6x + -6 35 + 7x + (15 + 3x) = 6x + -6 Reorder the terms: 35 + 15 + 7x + 3x = 6x + -6 Combine like terms: 35 + 15 = 50 50 + 7x + 3x = 6x + -6 Combine like terms: 7x + 3x = 10x 50 + 10x = 6x + -6 Reorder the terms: 50 + 10x = -6 + 6x Solving 50 + 10x = -6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 50 + 10x + -6x = -6 + 6x + -6x Combine like terms: 10x + -6x = 4x 50 + 4x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 50 + 4x = -6 + 0 50 + 4x = -6 Add '-50' to each side of the equation. 50 + -50 + 4x = -6 + -50 Combine like terms: 50 + -50 = 0 0 + 4x = -6 + -50 4x = -6 + -50 Combine like terms: -6 + -50 = -56 4x = -56 Divide each side by '4'. x = -14 Simplifying x = -14
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